A pitch-class set in pitch-class numbers

Realization

See and hear it

Same value

Also written as

Every notation of the pitch-class set concept, formatted from this value by the Symbolic library.

• Pitch-class numbers · this pageexact
  1-2-3-4-7-8-9-10
• 12-bit binaryexact
  011110011110
• Binary as decimalexact
  1950
• Note namesexact
  C#-D-D#-E-G-G#-A-A#
• Detected chord name

  Invalid pc set as chord: received "1-2-3-4-7-8-9-10", expected a set with a chord name

• Detected scale namelossy
  C# messiaen's mode #7
  • Drops interpretation. Detected scale name is an interpretation and does not read back exactly.
• Decimal, root at bit 0 (Ian Ring)exact
  1950

Other concepts

Bridges

Converting into another concept may need context this value does not carry (a root, an octave, a key). Where it is missing the library assumes a default and says so; where a step drops information it is listed.

• Note set · Letter names

  exact
  Db4-D4-Eb4-E4-G4-Ab4-A4-Bb4

  Path pc-set → note-set · needs root, octave

  • Assumed root C. No root was given, so the value is read from C.
  • Assumed octave 4. No octave was given, so octave 4 is used.

• Pitch-class distribution · Twelve weights

  exact
  0,1,1,1,1,0,0,1,1,1,1,0

  Path pc-set → pc-space

• Point set · Semitone offsets

  exact
  1-2-3-4-7-8-9-10

  Path pc-set → point-set

• Set class · Forte name

  lossy
  8-9

  Path pc-set → pc-set-analysis

  • Drops transposition. The set's Tn class (Forte name with A/B, prime form); the transposition is dropped.

• Grid position · Cells col,row (optional layout@origin: prefix)

  lossy
  aura@C3:1,3 2,2 3,1 4,0 4,1 2,4 3,3 4,2

  Path pc-set → note-set → grid-position · needs root, octave, layout

  • Assumed root C. No root was given, so the value is read from C.
  • Assumed octave 4. No octave was given, so octave 4 is used.
  • Assumed layout aura. No layout was given, so positions are read on the aura layout.
  • Assumed root C3. No root was given, so the value sounds above C3.
  • Drops alternative positions. Eb4 has 2 positions, E4 has 2 positions, G4 has 2 positions, Ab4 has 2 positions, A4 has 2 positions, Bb4 has 2 positions on aura; the one nearest (0, 0) is kept.

• Note distribution · MIDI : weight pairs

  exact
  61:1,62:1,63:1,64:1,67:1,68:1,69:1,70:1

  Path pc-set → note-set → note-space · needs root, octave

  • Assumed root C. No root was given, so the value is read from C.
  • Assumed octave 4. No octave was given, so octave 4 is used.

Live coding

Use in Symbolic Cycle

sym('pc-set/numbers/1-2-3-4-7-8-9-10')